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Finding the Third Proportional to 12,408.19 and 19,161.56

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Solution

The third proportional to 12,408.19 and 19,161.56 is: 29,590.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,408.19 : 19,161.56 = 19,161.56 : x
  2. Step 2: Convert to fraction form
    12,408.19/19,161.56 = 19,161.56/x
  3. Step 3: Cross multiply
    12,408.19x = 19,161.56 × 19,161.56
  4. Step 4: Simplify right side
    12,408.19x = 367,165,477.44
  5. Step 5: Solve for x
    x = 367,165,477.44/12,408.19
  6. Step 6: Final answer
    x = 29,590.58

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.